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Finding the Third Proportional to 35,920,844 and 76,822,492

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Solution

The third proportional to 35,920,844 and 76,822,492 is: 164,297,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920,844 : 76,822,492 = 76,822,492 : x
  2. Step 2: Convert to fraction form
    35,920,844/76,822,492 = 76,822,492/x
  3. Step 3: Cross multiply
    35,920,844x = 76,822,492 × 76,822,492
  4. Step 4: Simplify right side
    35,920,844x = 5,901,695,277,090,064
  5. Step 5: Solve for x
    x = 5,901,695,277,090,064/35,920,844
  6. Step 6: Final answer
    x = 164,297,233.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.